Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

31st May 2007

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 2/(x + 1) + 3/(x - 1) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 6 wins. How many games did they play?

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